Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physical Review A

Resonant enhancement of high-order optical nonlinearities based on atomic coherence

Muhammad Suhail Zubairy, Andrey B. Matsko, Marlan O. Scully

Published Mar 14, 2002• 65 citations
Publisher

Abstract

We show that the effect of coherent population trapping may result in resonant enhancement of ${\ensuremath{\chi}}^{(5)}$ or higher-order nonlinearities. The enhancement is accompanied by suppression of the other linear and nonlinear susceptibility terms. This effect has promise for a realistic scheme of photon phase gates necessary for practical implementation of quantum processing protocols.

DOI
10.1103/physreva.65.043804

Related papers

Enhancement of Kerr nonlinearity by multiphoton coherence

Andrey B. Matsko, Irina V. Novikova, George R. Welch +1 more

We propose a new method of resonant enhancement of optical Kerr nonlinearity that uses multilevel atomic coherence. The enhancement is accompanied by suppression of the other linear and nonlinear susceptibility terms of the medium. We show that the effect results in a modification of the nonlinear Faraday rotation of light propagating in an 87Rb vapor cell by changing the ellipticity of the light.

arXiv:quant-ph/0207141•Optics Letters•Jan 15, 2003•124 citations

Giant second-order cross nonlinearities via direct perturbation to the dark state in coherent population trapping

Guanghui Wang, Xiangming Hu, Qingping Hu +1 more

We study the nonlinearities due to direct perturbation to the dark state in coherent population trapping (CPT). To extract the susceptibilities of the CPT atoms with respect to probe fields, we treat the CPT dressing fields as control parameters and redefine susceptibilities with respect to the probe fields alone. With such a redefinition, we reveal that a CPT-based system displays an ultralarge, resonantly enhanced second-order cross susceptibility ${\ensuremath{\chi}}^{(2)}$ together with vanishing linear absorption. Physically, this effect is based on the CPT dark-state shift, which is traced to the six-photon parametric processes for all involved fields (including the dressing and probe fields). Because of the lack of the direct perturbation, this effect is absent in the electromagnetically induced transparency (EIT)-based system, in which only resonantly enhanced third-order (Kerr) susceptibility ${\ensuremath{\chi}}^{(3)}$ is obtainable but much weaker than the second-order one. The second-order nonlinearity, because of its stronger effect, can be more sensitive for quantum nonlinear optics at low light levels than the third-order nonlinearity.

Physical Review A•Feb 12, 2020•2 citations

Tailoring Optical Nonlinearities via the Purcell Effect

Peter A. Bermel, Alejandro W. Rodríguez, John D. Joannopoulos +1 more

We predict that the effective nonlinear optical susceptibility can be tailored using the Purcell effect. While this is a general physical principle that applies to a wide variety of nonlinearities, we specifically investigate the Kerr nonlinearity. We show theoretically that using the Purcell effect for frequencies close to an atomic resonance can substantially influence the resultant Kerr nonlinearity for light of all (even highly detuned) frequencies. For example, in realistic physical systems, enhancement of the Kerr coefficient by one to two orders of magnitude could be achieved.

arXiv:0705.2541•Physical Review Letters•Aug 3, 2007•51 citations

Enhancement of the nonlinearity via interacting dark resonances

Xiang-an Yan, Liqiang Wang

A scheme for large enhancement of the third-order nonlinearity in a four-level system with double dark resonances is proposed. We obtain an analytical expression for the linear susceptibility and nonlinear susceptibility of a weak probe field and show that the properties of double electromagnetically induced transparency and the Kerr nonlinearity can be modified significantly by changing the ratio of the two coupling fields. A physical understanding of our numerical results using the dressed-state approach is presented. The obtained large nonlinearity with vanishing absorption can be used to generate optical solitons, polarization phase gates and optical Kerr shutters.

Cross Strait Radio Science and Wireless Technology Conference (CSRSWTC)•Jul 1, 2011•0 citations

Nonlinear parametric interaction and higher-order squeezing in coherent population trapping

Fei Wang, Xiangming Hu

In this paper, we show that coherent population trapping (CPT) system can act as a nonlinear parametric interaction process, in which higher-order nonlinear effects are included, giving rise to the occurrence of nonclassical quantum correlation. Furthermore, our numerical results confirm that single- and two-mode higher-order squeezing are possible to obtain under different conditions because of the higher-order nonlinear effects, which are strongly determined by the atomic coherence. The higher-order squeezing obtained in CPT is robust against dissipation since the atoms are nearly trapped into the ground state, which may be useful for high-precision measurement.

Europhysics Letters (EPL)•Dec 1, 2014•5 citations

Enhancement of nonlinear-optical signals under coherent-population-trapping conditions

Harshawardhan Wanare, G. S. Agarwal

We develop a nonperturbative approach to study the generation of nonlinear signals in a coherently prepared medium. Specifically, we study the process ${\ensuremath{\omega}}_{1}\ensuremath{-}{\ensuremath{\omega}}_{2}+({\ensuremath{\omega}}_{2}+\ensuremath{\Omega})$, in a system prepared in a coherent-population-trapping state. We calculate enhancement factors of the order of $\ensuremath{\sim}{10}^{2}$ in the generated signal, under a variety of conditions thus supplementing the work of Jain et al. [Phys. Rev. Lett. 77, 4326 (1996)]. Our approach also enables us to study other related issues. We demonstrate the existence of pulse matching at higher probe powers.

Physical Review A•Jul 1, 1998•20 citations
We show that the effect of coherent population trapping may result in resonant enhancement of \ensuremathχ(5){\ensuremath{\chi}}^{(5)}\ensuremathχ(5) or higher-order nonlinearities. The enhancement is accompanied by suppression of the other linear and nonlinear susceptibility terms. This effect has promise for a realistic scheme of photon phase gates necessary for practical implementation of quantum processing protocols.
We study the nonlinearities due to direct perturbation to the dark state in coherent population trapping (CPT). To extract the susceptibilities of the CPT atoms with respect to probe fields, we treat the CPT dressing fields as control parameters and redefine susceptibilities with respect to the probe fields alone. With such a redefinition, we reveal that a CPT-based system displays an ultralarge, resonantly enhanced second-order cross susceptibility ${\ensuremath{\chi}}^{(2)}$ together with vanishing linear absorption. Physically, this effect is based on the CPT dark-state shift, which is traced to the six-photon parametric processes for all involved fields (including the dressing and probe fields). Because of the lack of the direct perturbation, this effect is absent in the electromagnetically induced transparency (EIT)-based system, in which only resonantly enhanced third-order (Kerr) susceptibility ${\ensuremath{\chi}}^{(3)}$ is obtainable but much weaker than the second-order one. The second-order nonlinearity, because of its stronger effect, can be more sensitive for quantum nonlinear optics at low light levels than the third-order nonlinearity.
We predict that the effective nonlinear optical susceptibility can be tailored using the Purcell effect. While this is a general physical principle that applies to a wide variety of nonlinearities, we specifically investigate the Kerr nonlinearity. We show theoretically that using the Purcell effect for frequencies close to an atomic resonance can substantially influence the resultant Kerr nonlinearity for light of all (even highly detuned) frequencies. For example, in realistic physical systems, enhancement of the Kerr coefficient by one to two orders of magnitude could be achieved.
A scheme for large enhancement of the third-order nonlinearity in a four-level system with double dark resonances is proposed. We obtain an analytical expression for the linear susceptibility and nonlinear susceptibility of a weak probe field and show that the properties of double electromagnetically induced transparency and the Kerr nonlinearity can be modified significantly by changing the ratio of the two coupling fields. A physical understanding of our numerical results using the dressed-state approach is presented. The obtained large nonlinearity with vanishing absorption can be used to generate optical solitons, polarization phase gates and optical Kerr shutters.
In this paper, we show that coherent population trapping (CPT) system can act as a nonlinear parametric interaction process, in which higher-order nonlinear effects are included, giving rise to the occurrence of nonclassical quantum correlation. Furthermore, our numerical results confirm that single- and two-mode higher-order squeezing are possible to obtain under different conditions because of the higher-order nonlinear effects, which are strongly determined by the atomic coherence. The higher-order squeezing obtained in CPT is robust against dissipation since the atoms are nearly trapped into the ground state, which may be useful for high-precision measurement.
We develop a nonperturbative approach to study the generation of nonlinear signals in a coherently prepared medium. Specifically, we study the process ${\ensuremath{\omega}}_{1}\ensuremath{-}{\ensuremath{\omega}}_{2}+({\ensuremath{\omega}}_{2}+\ensuremath{\Omega})$, in a system prepared in a coherent-population-trapping state. We calculate enhancement factors of the order of $\ensuremath{\sim}{10}^{2}$ in the generated signal, under a variety of conditions thus supplementing the work of Jain et al. [Phys. Rev. Lett. 77, 4326 (1996)]. Our approach also enables us to study other related issues. We demonstrate the existence of pulse matching at higher probe powers.